Rationalisie the denominator of: 4√3/2-√2​

Answers

Answer 1

Answer:

[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]

Step-by-step explanation:

[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]

By Rationalizing the denominator:-

[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]

[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]

[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]

[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]

[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]


Related Questions

HELPPPP MMEEE

PLEASE

Answers

Answer:

x2 and 7x

Step-by-step explanation:

thats correct

x2 + 7x =18

guys pls help me!!!!!!

Answers

Answer:

maybe 34 ? or 180-34 =146

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

The two angles are congruent so x would be the same.

Jesus Loves You!

PLS HURRY 30 POINTS!!!
You dont have to fill out every number, just give as many as you can list.

Answers

Answer:

1. X is the midpoint of AG; given

2. X is the midpoint of NR; given

3. AX and XG are congruent; statement 1

4. NX and XR are congruent; statement 2

5. angle AXN and angle RXG are congruent; vertical angles are congruent

6. Triangle ANX and triangle GRX are congruent; make the correspondence A <-> G, X <-> X, N <-> R, and Side-Angle-Side Congruence Theorem.

Step-by-step explanation

Statements Reason

1. angle1 is about angle2 Vertical Angles

2. X is the midpoint of lineAG Given

3. lineAX is about lineGX Definition of midpoint

4. X is the midpoint of line NR Given

5. lineNX is about lineRX Definition of midpoint

6. planeANX is about planeGRX SAS

pls help me i don’t get this at all

Answers

Step-by-step explanation:

oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?

it is simple, the first number is the x value, and the second number is the y value.

so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.

if yes, then that pair is a solution.

(6, -33)

-33 >= -8×6 +7

-33 >= -48 + 7

-33 >= -41 true, -33 is indeed bigger than -41

in the same way as -1 is bigger than -2.

(-1, 12)

12 >= -8×-1 + 7

12 >= 8 + 7

12 >= 15 false

(8, -65)

-65 >= -8×8 + 7

-65 >= -64 + 7

-65 >= -57 false

(2, -1)

-1 >= -8×2 + 7

-1 >= -16 + 7

-1 >= -9 true, -1 is bigger than -9

(-6, 47)

47 >= -8×-6 + 7

47 >= 48 + 7

47 >= 55 false

3/4+x=2x-x+ ?(need answer)

Answers

Answer:(x - 4)(2x + 3)

FOIL = first,outside,inside,last

F -- so multiply first terms in each set....(x)(2x)

O -- multiply outside terms in each set...(3)(x)

I -- multiply inside terms in each set....(-4)(2x)

L -- multiply last terms in each set.......(-4)(3)

Step-by-step explanation:

Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.

what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!​

Answers

Answer:

you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books

(0.027/64000)⅓
guys pls I need help​

Answers

Answer:

7.5×10^-3

Step-by-step explanation:

[tex] \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } [/tex]

due to the law of indices :

[tex] = 4.21875 \times 10 ^{ - 7} [/tex]

don't forget

(0.027/64000)⅓

so :

[tex] ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } [/tex]

i.e third root of the answer above

[tex] = 7.5 \times {10}^{ - 3} [/tex]

simplify simplify simplify​

Answers

This is what it comes out to being as simplified as I could find.

Answer:

here is the answer

Step-by-step explanation:

What is the area of the trapezoid if the bottom base is 4x-5 and the top is 6x+3 with both sides being -5x+10?

Answers

Step-by-step explanation:

Area=(a+b)/2 x h

a=6x+3

b=4x-5

h=-5x+10

Area= -25x^2+55x-10

find the missing angle measures.


Y = 63

Z = ?

X = ?

Can someone tell me the answer piz

Answers

Answer:

look at the photo I have sent

you wearing a mask right now???

a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate

Answers

The answer is 1,570 cm
Hope it helps

Plz help will give brainliest
Simplify square root of five times the quantity six minus four square root of three.

Group of answer choices

9

thirty square root of three

six square root of five minus four square root of fifteen

square root of thirty minus twenty square root of three

Answers

Answer:

C

Step-by-step explanation:

Answer:

6√5-4√15

Step-by-step explanation:

√5(6-4√3)

6√5-4√3*√5 division property

6√5-4√3*5 combining like terms

6√5-4√15

Solve for X then find the measure of angle B

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 2 angles are equal so

8x - 8 = 5x + 25

3x = 33

x = 11.

m < B = 8(11) - 8 = 80 degrees.

Ill give brainlest if right

Answers

Answer: The Car is moving at a Constant positive speed

Step-by-step explanation:

the car is going in a positive direction at a time in which doesn't change so it is at a constant speed

line u || line v, what is the value of x?

pls help!!!

Answers

Answer:

x = 6

Step-by-step explanation:

110 and 19x - 4 are alternate exterior angles and are congruent, then

19x - 4 = 110 ( add 4 to both sides )

19x = 114 ( divide both sides by 19 )

x = 6

Can someone help solve?

Answers

The slope will be -2/5

How do I solve 5x - 4x^2

Answers

Answer:

If you are asking,

5x - 4x^2=0

x(5-4x)=0

Either,

x=0

or,

5-4x=0

x=5/4

If factor,

5x - 4x^2

x(5-4x)

If difference,

5x - 4x^2

The same as they are not like terms.

Write a statement and reason proof.

Answers

Answer:

l want to do all your math

Answer:

<XPE = <ENY

Step-by-step explanation:

<1=<2 (GIVEN)

SO <3+<4= <5+<6

<3=<4 (PE Bisects <APN)

<5=<6 (EN bisects <ANP)

so <3=<5

than <XPE=< ENY

find the volume of a cube with the given sides length. 1/5b^3

Answers

Answer:

[tex]\sf \dfrac{b^9}{125}[/tex]

Step-by-step explanation:

We need to find out the volume of cube with the given side length . The side of the cube is ,

[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]

Now as we know that the volume of cube is ,

[tex]\sf\longrightarrow Volume = side^3[/tex]

Substitute the given value ,

[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]

6.
What is the midpoint of the line segment whose
endpoints (7,-4) and (-3, -2)?
are

Answers

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

It took a car 2 days to travel 2274 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

47 mph

Step-by-step explanation:

1 day = 24 hours, so 2 days = 48 hours.

2274/48 (2274 miles per 48 hours, simplify!) This equals 47.375. Round it down to 47 mph.

This is assuming the car took no breaks.

Hope this helps!

{[(3x+8)+6(2.5x-3)]}

Answers

Answer: The answer is 18x + 26

Step-by-step explanation:

What I did was simplify the Expression of (3x+8)+6(2.5x-3) then combine the terms and last evaluate the Expression.

discrete or continuous ​

Answers

i think the answer is contionous

the product of r and 8​

Answers

Answer:

I believe it'd be 8r.

Worth 100 Points!

Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!​

Answers

        You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)

       To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.

      We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:

[f(x)] y = -2x + 2

[switch] x = -2y + 2

[subtract 2 from both sides / flip equation] -2y = x - 2

[divide both sides by -2] y = -2x -4

So our equation for g(x) will be about y = 2x -4

(inverse so the negative is weird)

Photos:

- first is y=x

- second is the general idea of the inverse for what g(x) should look like

- third is kinda what the graph will look like (digitally)

I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D

Convert to slope-intercept form to graph 3x+5y=10

Answers

Slope intercept: -3/5
Y intercept: (0,2)

What is 30 divided by 4? Show your work and explain.

Answers

Answer:

7.5

30

÷

4

__

7.5

4×6=24

4×7= 28

4×8= 32

4×8= X

4×7.5= 30

What is the first term of the quotient of the following division problem?
(x^3-1) ÷ (x+2)
•-0.5
•1
•x^2
•x^4

Answers

Answer:

Step-by-step explanation:

x³ - 1 ÷ x + 2

the first term of the quotient is x³ ÷ x = x²

One kilometer is 1000 meters. 1. Complete the table. meters kilometers 1,000 1 250 12 1

Answers

1000 km = 1000000 meter
1 km= 1000 meter
250 km = 250,000 meter
12 km = 12,000 meter

Evaluate the expression when n=6
n² – 5n-2

Answers

Answer:

4

Step-by-step explanation:

(6^2) -5(6) -2 =4

that is the answer

Step-by-step explanation:

6^2 - 5×6 - 2

= 36 - 30 -2

= 4

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